What is the Least Common Multiple of 23198 and 23205?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 23198 and 23205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23198 and 23205, than apply into the LCM equation.

GCF(23198,23205) = 7
LCM(23198,23205) = ( 23198 × 23205) / 7
LCM(23198,23205) = 538309590 / 7
LCM(23198,23205) = 76901370

Least Common Multiple (LCM) of 23198 and 23205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23198 and 23205. First we will calculate the prime factors of 23198 and 23205.

Prime Factorization of 23198

Prime Factorization of 23205

Now multiplying the highest exponent prime factors to calculate the LCM of 23198 and 23205.

LCM(23198,23205) = 2¹ × 7¹ × 1657¹ × 3¹ × 5¹ × 13¹ × 17¹
LCM(23198,23205) = 76901370